Question

oranges are bought at 6 for rs 20 and sold at 4 for rs 18 . Find the gain or loss per cent

Answer 1

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Here is the solution:

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Find the cost of 1 orange:

6 oranges = Rs 20

1 orange = 20 ÷ 6 = Rs 10/3

Find the selling price of 1 orange:

4 oranges = Rs 18

1 orange = 18/4 = Rs 9/2

Find the profit / loss:

Since 9/2 > 10/3 ⇒ It is a profit

Profit = Selling Price - Cost Price

Profit = 9/2 - 10/3 = Rs 7/6

Find the profit percentage:

Profit percentage = (profit ÷ cost price) x 100

Profit percentage = ( 7/6 ÷ 10/3 ) x 100 = 35%

Answer: There is a 35% gain.

Answer 2

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cost Price of 6 oranges = Rs. 10

So, Cost Price of 1 orange = Rs. 10/6

Now, Selling Price of 4 oranges = Rs. 9

So, Selling Price of 1 orange = Rs. 9/4

Here, we see Selling Price is greater than Cost Price.

So, Gain = S.P. - C.P.

= 9/4 - 10/6

= 7/12

Therefore, Gain% = ( Gain / C.P. ) * 100

= (7/12) / (10/6) * 100

= 35%